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Finding the Fourth Proportional to 6,352.40, 8,762.10 and 5,024

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Solution

The fourth proportional to 6,352.40, 8,762.10 and 5,024 is: 6,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.40 : 8,762.10 = 5,024 : x
  2. Step 2: Convert to fraction form
    6,352.40/8,762.10 = 5,024/x
  3. Step 3: Cross multiply
    6,352.40x = 8,762.10 × 5,024
  4. Step 4: Simplify right side
    6,352.40x = 44,020,790.40
  5. Step 5: Solve for x
    x = 44,020,790.40/6,352.40
  6. Step 6: Final answer
    x = 6,929.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.